An analysis on the stability of a state dependent delay differential equation-Reference-Cited by-同舟云学术

An analysis on the stability of a state dependent delay differential equation

Published:2016-01-01 Issue:1 Volume:14 Page:425-435
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Erman Sertaç¹,Demir Ali¹

Affiliation:

1. 1Department of Mathematics, Kocaeli University, Umuttepe, 41380 Izmit-Kocaeli, Turkey

Abstract

AbstractIn this paper, we present an analysis for the stability of a differential equation with state-dependent delay. We establish existence and uniqueness of solutions of differential equation with delay term

$\tau (u(t)) = \frac{{a + bu(t)}}{{c + bu(t)}}.$

Moreover, we put the some restrictions for the positivity of delay term τ(u(t)) Based on the boundedness of delay term, we obtain stability criterion in terms of the parameters of the equation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0038/pdf

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